Practice Vertical And Horizontal Asymptotes (4) - Rational Functions - IB 10 Mathematics

Practise this section

10 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Find the vertical asymptote for f(x) = 1/(x + 5).
Show hintHide hint
Set the denominator equal to zero.
Question 2.
Identify the horizontal asymptote for f(x) = (3x)/(2x + 1).
Show hintHide hint
Compare the degree of the numerator to the denominator.
3Question 3.
What is the vertical asymptote of f(x) = (x + 2)/(x - 3)?
- x = 2
- x = -3
- x = 3
Show hintHide hint
Look for the point where the function is undefined.
4Question 4.
True or False: If the degree of the numerator is less than that of the denominator, the horizontal asymptote is at y = 0.
- True
- False
Show hintHide hint
Think about how the graph behaves as it approaches infinity.
Question 5.
Given the function f(x) = (x^3 - 1)/(x^3 + 1), find the vertical and horizontal asymptotes and explain the significance of these results.
Show hintHide hint
Check for factors of the denominator.
Question 6.
Examine the function f(x) = (4x^4 + 2)/(x^2 - 5). Discuss the vertical and horizontal asymptotes and any restrictions on its domain.
Show hintHide hint
Factor the denominator to find critical points.

6 more questions in this section. Enroll free to practise them all.